The current in a coil varies with time t as I = 3t2+ 2t. If the inductance of coil be 10 mH, the value of induced e.m.f. at \(t=2~\mathrm{s}\) will be:
1. \(0.14~\mathrm{V}\)
2. \(0.12~\mathrm{V}\)
3. \(0.11~\mathrm{V}\)
4. \(0.13~\mathrm{V}\)

Subtopic:  Faraday's Law & Lenz Law |
 88%
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A coil of a mean area of 500 cm2 and 1000 turns is held perpendicular to a uniform field of 0.4 Gauss. The coil is turned through 180° in 110 seconds. The average induced e.m.f. is:

1. 0.04 V 2. 0.4 V
3. 4 V 4. 0.004 V
Subtopic:  Faraday's Law & Lenz Law |
 60%
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The network shown in figure is a part of a complete circuit. If at a certain instant, the current 'i' is 10 A and is increasing at the rate of 4×103 A/sec, then VA-VB is:

  

1. 6 V 2. -6 V
3. 10 V 4. -10 V
Subtopic:  LR circuit |
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A coil having an area A0 is placed in a magnetic field which changes from B0 to 4B0 in time interval t. The average EMF induced in the coil will be:

1. 3A0B0t

2. 4A0B0t

3. 3B0A0t

4. 4B0A0t

Subtopic:  Faraday's Law & Lenz Law |
 87%
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A rod AB of length l is moving with constant speed v in a uniform magnetic field on a conducting U-shaped wire as shown. If the rate of loss of heat energy across resistance R is Q, then the force needed parallel to velocity to keep rod moving with constant speed v is:

                

1.  Qv

2.  Qv

3.  Q2v

4.  Q2v

Subtopic:  Motional emf |
 64%
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A coil has 1,000 turns and 500 cm2 as its area. The plane of the coil is placed at right angles to a magnetic field of 2×10-5 Wb/m2. The coil is rotated through  \(180^{0}\)  in 0.2 seconds. The average e.m.f. induced in the coil, in milli-volts, is:

1. 5 2. 10
3. 15 4. 20
Subtopic:  Faraday's Law & Lenz Law |
 59%
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An electric potential difference will be induced between the ends of the conductor shown in the diagram when the conductor moves in the direction of:

    

1. P
2. Q
3. L
4. M

Subtopic:  Motional emf |
 70%
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In a circuit with a coil of resistance 2 ohms, the magnetic flux changes from 2.0 Wb to 10.0 Wb in 0.2 second. The charge that flows in the coil during this time is:
1. 5.0 coulomb
2. 4.0 coulomb
3. 1.0 coulomb
4. 0.8 coulomb

Subtopic:  Faraday's Law & Lenz Law |
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A long solenoid of diameter 0.1 m has 2×104 turns per meter. At the centre of the solenoid, a coil of 100 turns and a radius of 0.01 m is placed with its axis coinciding with the solenoid's axis.  The current in the solenoid reduces at a constant rate from 0 A to 4 A in 0.05 s. If the resistance of the coil is 10πΩ, the total charge flowing through the coil during this time is:

1. 32π μC

2. 16 μC

3. 32 μC

4. 16π μC

Subtopic:  Mutual Inductance |
 59%
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NEET - 2017
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A conducting square frame of side 'a' and a long straight wire carrying current i are located in the same plane as shown in the figure. The frame moves to the right with a constant velocity v. The emf induced in the frame will be proportional to:
      
1. 1/x2
2. 1/(2x-a)2
3. 1/(2x+a)2
4. 1/(2x-a) x (2x+a)

Subtopic:  Motional emf |
 71%
From NCERT
NEET - 2015
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